Finding the Fourth Proportional to 300.59, 414.78 and 174.52

Step by Step Solution

1. Step 1: Write the proportion equation
   300.59 : 414.78 = 174.52 : x
2. Step 2: Convert to fraction form
   300.59/414.78 = 174.52/x
3. Step 3: Cross multiply
   300.59x = 414.78 × 174.52
4. Step 4: Simplify right side
   300.59x = 72,385.46
5. Step 5: Solve for x
   x = 72,385.46/300.59
6. Step 6: Final answer
   x = 240.81